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Now we know that pc = Transpose[KarhunenLoeveDecomposition[d\[Transpose],\
\[CloseCurlyDoubleQuote]Centered\[CloseCurlyDoubleQuote]\[Rule]True][[1]]] and
pc = Standardize[d, Mean, 1&].KarhunenLoeveDecomposition[d\[Transpose],\
\[CloseCurlyDoubleQuote]Centered\[CloseCurlyDoubleQuote]\[Rule]True][[2]] and 
pc= Transpose[KarhunenLoeveDecomposition[Standardize[d, Mean, \
1&]\[Transpose]][[1]]];
Since KarhunenLoeveDecomposition[d\[Transpose],\[CloseCurlyDoubleQuote]\
Centered\[CloseCurlyDoubleQuote]\[Rule]True] = \
KarhunenLoeveDecomposition[Standardize[d, Mean, 1&]\[Transpose]]
=KarhunenLoeveDecomposition[Standardize[d, Mean, 1&]\[Transpose], \
\[OpenCurlyDoubleQuote]Centered\[CloseCurlyDoubleQuote]\[Rule]True]
However, KarhunenLoeveDecomposition[d\[Transpose],\[CloseCurlyDoubleQuote]\
Centered\[CloseCurlyDoubleQuote]\[Rule]True][[2]] is different from \
Eigensystem[Covariance[d]//N][[2]]( only the sign of some rows..who knows?? \
but the rows are in same order) ;\
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